QCAA Maths Methods Trigonometry Mini Test 1

 External Assessment Paper 2 — Technology-active

Number of marks: 8

Perusal time: 1 minute

Writing time: 12 minutes

Section 1

Instructions
• This section has 10 questions and is worth 10 marks.
• Use a 2B pencil to fill in the A, B, C or D answer bubble completely.
• Choose the best answer for Questions 1 10.
• If you change your mind or make a mistake, use an eraser to remove your response and fill in the new answer bubble completely.


QUESTION 1 [2024 Paper 2 Q7]
Triangle diagram

Identify the possible values for \(a\) in the triangle.

  • (A) \(13.5^\circ\) or \(126.5^\circ\)
  • (B) \(53.5^\circ\) or \(126.5^\circ\)
  • (C) \(53.5^\circ\) or \(86.5^\circ\)
  • (D) \(13.5^\circ\) or \(86.5^\circ\)
Correct Answer: B
Click here for full solution

Section 2

Instructions
• Write using black or blue pen.
• Questions worth more than one mark require mathematical reasoning and/or working to be shown to support answers.
• If you need more space for a response, use the additional pages at the back of this book.
– On the additional pages, write the question number you are responding to.
– Cancel any incorrect response by ruling a single diagonal line through your work.
– Write the page number of your alternative/additional response, i.e. See page …
– If you do not do this, your original response will be marked.
• This section has nine questions and is worth 45 marks.



QUESTION 2 (7 marks) [2022 Paper 2 Q15]

A hiker begins her journey at a youth hostel (\(H\)) and walks for 8 km on a bearing of 052°T to her lunch stop (\(L\)). She then walks on a bearing of 210°T for 5.2 km until she reaches a campsite (\(C\)).

Determine the direction she would need to walk in a straight line to return directly to the youth hostel.

END OF PAPER

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